1049000400 has 180 divisors, whose sum is σ = 4160468832. Its totient is φ = 239765760.

The previous prime is 1049000377. The next prime is 1049000401. The reversal of 1049000400 is 40009401.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1049000400² = 2200803678400320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049000401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4387 + ... + 46013.

Almost surely, 2^1049000400 is an apocalyptic number.

1049000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080234416).

1049000400 is an abundant number, since it is smaller than the sum of its proper divisors (3111468432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1049000400 is a wasteful number, since it uses less digits than its factorization.

1049000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41658 (or 41644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1049000400 is about 32388.2756564779. The cubic root of 1049000400 is about 1016.0737179652.

Adding to 1049000400 its reverse (40009401), we get a palindrome (1089009801).

The spelling of 1049000400 in words is "one billion, forty-nine million, four hundred", and thus it is an aban number.